Australian Laureate Fellowships - Grant ID: FL190100080
Funder
Australian Research Council
Funding Amount
$3,432,323.00
Summary
New frontiers for nonequilibrium systems. The universe is comprised of systems in states of change or responding to a driving force. Yet a fundamental understanding of these nonequilibrium systems that enables predictive design has eluded scientists to date. This program aims to develop ground-breaking principles and methodologies to predict properties of nonequilibrium systems using both statistical physics and molecular simulations. Significantly, by pioneering new theories and building Austra ....New frontiers for nonequilibrium systems. The universe is comprised of systems in states of change or responding to a driving force. Yet a fundamental understanding of these nonequilibrium systems that enables predictive design has eluded scientists to date. This program aims to develop ground-breaking principles and methodologies to predict properties of nonequilibrium systems using both statistical physics and molecular simulations. Significantly, by pioneering new theories and building Australian capacity in this area, we will be able to understand, control and utilise their distinctive behaviour in design. Expected outcomes and benefits are multi-dimensional, including breakthrough theory and new capability for high-end technologies such as nanofluidics, robotics and batteries.Read moreRead less
Transformative simulation techniques for complex polymer networks. The study of long chain polymers like DNA using computer simulations has uncovered exciting insights over many years. Generally these have been limited to simple topologies, interactions, and environments. This project aims to develop the next generation of simulation techniques to tackle a new frontier of polymer models, including those with complex topologies like stars, knots, and links, which have hitherto been inaccessible. ....Transformative simulation techniques for complex polymer networks. The study of long chain polymers like DNA using computer simulations has uncovered exciting insights over many years. Generally these have been limited to simple topologies, interactions, and environments. This project aims to develop the next generation of simulation techniques to tackle a new frontier of polymer models, including those with complex topologies like stars, knots, and links, which have hitherto been inaccessible. Expected outcomes include new simulation methods which harness modern computational clusters, leading to greater understanding of polymers with complex topologies and in complicated environments. Important elements of biological processes may be discovered, such as how polymer structure affects DNA transcription.Read moreRead less
Molecular design of complex lubricants to reduce friction. We will investigate the molecular level design of friction modifiers for a new generation of industrial lubricants. The goal is to dramatically reduce friction between moving mechanical parts, hence increasing energy efficiency in machines and reducing global greenhouse gas emissions. We will design and test these new friction modifiers by a combination of theoretical and computational methods based in statistical mechanics and nonequili ....Molecular design of complex lubricants to reduce friction. We will investigate the molecular level design of friction modifiers for a new generation of industrial lubricants. The goal is to dramatically reduce friction between moving mechanical parts, hence increasing energy efficiency in machines and reducing global greenhouse gas emissions. We will design and test these new friction modifiers by a combination of theoretical and computational methods based in statistical mechanics and nonequilibrium molecular dynamics and directly compare results with experimental measurements. Our investigations will pave the way to develop new cost-effective friction modifiers without the need for traditional and costly trial and error laboratory based experimentation.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE210100256
Funder
Australian Research Council
Funding Amount
$415,283.00
Summary
Extracting the hidden structure of glass from particle vibrations. Predicting the rigid behaviour of glass from its disordered, amorphous atomic structure remains a challenge in materials science. This project aims to define an innovative measure of structure based on how constrained each particle is, which can be quantified by measuring the particles’ vibrations. Using this new measure of structure, this project expects to link the microscopic structure of glass to its macroscopic properties v ....Extracting the hidden structure of glass from particle vibrations. Predicting the rigid behaviour of glass from its disordered, amorphous atomic structure remains a challenge in materials science. This project aims to define an innovative measure of structure based on how constrained each particle is, which can be quantified by measuring the particles’ vibrations. Using this new measure of structure, this project expects to link the microscopic structure of glass to its macroscopic properties via computer simulations. Expected outcomes of this project include a new methodology for characterising amorphous materials and an improved understanding of the nature of glass. This should provide significant benefits, such as an increased ability to rationally design amorphous materials with desired properties.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE230100829
Funder
Australian Research Council
Funding Amount
$425,100.00
Summary
Geometric approaches to quantum many body problems. The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution ....Geometric approaches to quantum many body problems. The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution and the characterisation of suitable quantum state families by their correlation structures.Read moreRead less
New methods in spectral geometry. This project aims to use methods from mathematical scattering theory to resolve problems in the spectral analysis and index theory of differential operators. Both areas underpin the theoretical understanding of physical materials at micro length scales where quantum phenomena dominate. The project will develop new mathematical results in spectral analysis and geometry, and apply its results to theoretical models of quantum phenomena whose spectral properties are ....New methods in spectral geometry. This project aims to use methods from mathematical scattering theory to resolve problems in the spectral analysis and index theory of differential operators. Both areas underpin the theoretical understanding of physical materials at micro length scales where quantum phenomena dominate. The project will develop new mathematical results in spectral analysis and geometry, and apply its results to theoretical models of quantum phenomena whose spectral properties are at the limit of the range of mathematical techniques. Solving these problems is expected to influence non-commutative analysis.Read moreRead less
Solvability and universality in stochastic processes. Exactly solvable stochastic processes are an important area of mathematical research, with cross-disciplinary links to quantum physics, quantum algebras and probability theory. These processes can be used to model a variety of real-world phenomena such as crystal growth and polymers in random media. This project aims to significantly expand our knowledge of exactly solvable stochastic processes by extending them to new algebraic frameworks. A ....Solvability and universality in stochastic processes. Exactly solvable stochastic processes are an important area of mathematical research, with cross-disciplinary links to quantum physics, quantum algebras and probability theory. These processes can be used to model a variety of real-world phenomena such as crystal growth and polymers in random media. This project aims to significantly expand our knowledge of exactly solvable stochastic processes by extending them to new algebraic frameworks. Among the outcomes of the project, we expect to identify new probabilistic structures which go beyond the famous Gaussian universality class. These theoretical developments allow better prediction of randomly growing interfaces, which encompass a range of phenomena from tumour growth to forest fires.Read moreRead less
Shuffle algebras and vertex models. Shuffle algebras are important new mathematical structures that offer a new approaches and techniques to solve outstanding open problems in a variety of branches of mathematics, including mathematical physics, algebraic geometry and combinatorics. This project proposes to find solutions to key open problems using connections between shuffle algebras and integrable lattice models. The expected outcomes include (i) a new framework of shuffle algebra techniques t ....Shuffle algebras and vertex models. Shuffle algebras are important new mathematical structures that offer a new approaches and techniques to solve outstanding open problems in a variety of branches of mathematics, including mathematical physics, algebraic geometry and combinatorics. This project proposes to find solutions to key open problems using connections between shuffle algebras and integrable lattice models. The expected outcomes include (i) a new framework of shuffle algebra techniques to solve challenging research problems in mathematical physics and statistical mechanics, (ii) practical and computationally feasible constructions of shuffle algebras using vertex models, (iii) solutions to unresolved spectral problems of open quantum systems.Read moreRead less
Matrix product multi-variable polynomials from quantum algebras. This project aims to expand the theory of polynomials and develop generalised polynomial families using connections to affine and toroidal algebras. Many combinatorial and computational problems in pure and applied mathematics as well as mathematical physics can be solved using polynomials in many variables, such as Macdonald polynomials. This project is anticipated to address the current difficulty of implementing symmetric and no ....Matrix product multi-variable polynomials from quantum algebras. This project aims to expand the theory of polynomials and develop generalised polynomial families using connections to affine and toroidal algebras. Many combinatorial and computational problems in pure and applied mathematics as well as mathematical physics can be solved using polynomials in many variables, such as Macdonald polynomials. This project is anticipated to address the current difficulty of implementing symmetric and non-symmetric polynomials in symbolic algebra packages by developing completely new algorithms. New understanding from the project is expected to facilitate challenging computational problems of measurable quantities in quantum systems.Read moreRead less
Promoting new reaction pathways with nonequilibrium flow. This project aims to develop a fundamental molecular level understanding of flow-induced physical and chemical reactions in liquids. Nonequilibrium molecular dynamics simulations will be used to gain insight into the mechanisms that promote reactions under shear, and how these are related to molecular structure and fluid composition. New relationships for determination of rate constants of reactions in nonequilibrium systems will also be ....Promoting new reaction pathways with nonequilibrium flow. This project aims to develop a fundamental molecular level understanding of flow-induced physical and chemical reactions in liquids. Nonequilibrium molecular dynamics simulations will be used to gain insight into the mechanisms that promote reactions under shear, and how these are related to molecular structure and fluid composition. New relationships for determination of rate constants of reactions in nonequilibrium systems will also be developed and tested. It is expected that this knowledge will enhance the capacity to control and promote reactions. This is significant for advancement of many technologies, from development of new synthetic pathways and products, to design of lubricants that can withstand extreme strain rates.Read moreRead less